101056968205092 has 144 divisors (see below), whose sum is σ = 286156825194240. Its totient is φ = 29883042395136.

The previous prime is 101056968205079. The next prime is 101056968205097. The reversal of 101056968205092 is 290502869650101.

101056968205092 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 56 + 9 + 6 + 82 + 0 + 509 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (101056968205097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19767228 + ... + 24348659.

It is an arithmetic number, because the mean of its divisors is an integer number (1987200174960).

Almost surely, 2^{101056968205092} is an apocalyptic number.

101056968205092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101056968205092 is an abundant number, since it is smaller than the sum of its proper divisors (185099856989148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101056968205092 is a wasteful number, since it uses less digits than its factorization.

101056968205092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44116130 (or 44116125 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 101056968205092 in words is "one hundred one trillion, fifty-six billion, nine hundred sixty-eight million, two hundred five thousand, ninety-two".